A large college wishes to determine the average SAT scores for students who apply from New York. They surveyed 95 students from New York and discovered a mean SAT score of 1509. Which of the statements below represent the statistic and the population, respectively, of the survey?

I. The mean SAT score of all students from New York

II. The mean SAT score of 95 students from New York

III. The 95 students who apply to the college from New York

IV. All students who apply to the college from New York


Statements I and II

Statements II and III

Statements I and IV

Statements II and IV

Answer:

f(x) = (x + 2)2 = 2x + 4

g(x) = 3(x - 1) = 3x - 3

gf(x) = (2x + 4)(3x - 3)

= 6x² - 6x + 12x - 12

= 6x² + 6x - 12

To write the final answer in the form

a(x² + bx + c) we factorize the expression

Thus

6x² + 6x - 12

= 6( x² + x - 2)

where a = 6, b = 1 and c = - 2

b.) to find g '(12) we first find g ′

To find g′ equate g(x) to y

Thus

g(x) = y

y = 3x - 3

x = 3y - 3

3y = x + 3

Divide both sides by 3

We get

y = x+3/3

That's g′ = x + 3 / 3

g′(12) = 12 + 3 / 3

= 15/3

= 5

Hope this helps

Answer:

It takes 3 more gallons to fill the tank.

Step-by-step explanation:

6-3=3

here is the answer hope this helps

Answer:

Law of Sines

Step-by-step explanation:

Law of Sines: [tex]\frac{A}{sina} =\frac{B}{sinb} =\frac{C}{sinc}[/tex]

Step 1: Solve for m∠B

[tex]\frac{25}{sin36} =\frac{27}{sinx}[/tex]

25sinx = 27sin36°

sinx = 27sin36°/25

[tex]x = sin^{-1}(\frac{27sin36}{25} )[/tex]

m∠B ≈ 39.4°

Step 3: Find m∠C

180 - (36 + 39.4)

180 - 75.4

m∠C = 104.6°

Answer:

an = 8 + (n-1) *(-6)

Step-by-step explanation:

The explicit formula is

an = a1+ d (n-1)  where a1 is the initial value and d is the common difference

The initial value is 8  so a1 = 8

The common difference is what we are adding or subtracting each time

We are subtracting 6 each time as we see from the recursive forumla

so d = -6

an = 8 -6(n-1)

or

an = 8 + (n-1) *(-6)

Answer:

C

Step-by-step explanation:

[tex]a_{n}-a_{n-1}=-6\\d=-6\\a_{n}=a_{1}+(n-1)d\\a_{n}=8+(n-1)(-6)[/tex]

Answer:

326 kg

Step-by-step explanation: weight of the motorcycle: 237 kg

Mass of the rider: 89 kg

Total mass: 237+89:326 kg

Answer:

326 kg

Step-by-step explanation:

tbh im lazy to type it in i owe u a explanation

Answer:

[tex]\boxed{\sf \ \ \ (x-1)(x-3)(x+5) \ \ \ }[/tex]

Step-by-step explanation:

Hello,

1 is a trivial zero so we can write

[tex]x^3+x^2-17x+15=(x-1)(x^2+2x-15) = (x-1)(x^2+5x-3x-15)\\==(x-1)(x(x+5)-3(x+5))=(x-1)(x-3)(x+5)[/tex]

hope this helps

It can be understood from below that Option A for Spread and Option D for Center is the correct answer.

Center describes a typical value of a data point. Two measures of center are mean and median.

Spread describes the variation of the data. Two measures of spread are range and standard deviation.

In the graph we can see that the hourly earnings are more spread out in Career B and

Career B has greater median hourly earnings than Career A.

Therefore Option A for Spread and Option D for Center is the correct answer.

To know more about Center and Spread

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Answer:

A and D

Step-by-step explanation:

Answer:

[tex]\frac{200}{1} * \frac{3}{4} = 150g[/tex] < butter

[tex]\frac{180}{1}*\frac{3}{4} = 135g[/tex] < castor sugar

[tex]\frac{20}{1}*\frac{3}{4} = 15g[/tex] < chocolate chips

full working out :)

yes

1.-3

2.3

3.10

4.2

5.3

━━━━━━━☆☆━━━━━━━

▹ Answer

-a - 2b - 9c

▹ Step-by-Step Explanation

(-2a - 4b - 6c) - (-a - 2b + 3c)

Remove parentheses

-2a - 4b - 6c - (-a - 2b + 3c)

Collect like terms

-a - 4b - 6c + 2b - 3c

Final Answer

-a - 2b - 9c

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: -a - 2b -9c

Step-by-step explanation:

-2a - (-a) = -a

-4b - (-2b) = -2b

-6c - (3c) = -9c

-a - 2b - 9c

Answer:

12 hours

Step-by-step explanation:

$3000 / 36hours / 10weeks = $8.33333333333

$3000 / 30weeks / $8.33333333333 = 12hours

Answer:

12

Step-by-step explanation:

Since she only needs to make the same amount of money, if she works for 3 times as many weeks, she can work 3 times fewer hours per week, meaning she can work 1/6x36= 12 hours per week

I would say World Health Organization because that is for the world and Sally dreams of going to medical school and giving quality medical care to people who live in countries in crisis.

Answer:

B

Step-by-step explanation:

I took the test ;P

Answer:

i think suzy will put 15 red counters into the bag​

Step-by-step explanation:

Answer:

John is currently 6 years old.

Step-by-step explanation:

2 years ago: x years

Current time: x+2

In 6 years: x+8

EQUATION:

3(x)=x+8= 3x=x+8

(subract x from both sides)

2x=8

x=4

Therefore, John is 6 years old in current time

Answer:

10,000

15,625,000

Step-by-step explanation:

Squaring a number means multiplying a number by itself.

100^2=100*100=10,000

Cubing a number means multiplying a number by itself 3 times.

250^3=250*250*250=15,625,000

Hope this helps ;) ❤❤❤

Answer:

10000

15,625,000

Step-by-step explanation:

100 x 100 = 10000

250 x 250 x 250 = 15,625,000

Answer:

(4,0) , (2,0)

Step-by-step explanation:

To find the x-intercept, substitute in  

0

for  

y

and solve for  

x

. To find the y-intercept, substitute in  

0

for  

x

and solve for  

y

Answer: X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides.

Step-by-step explanation:

Answer: The answer is C.

Step-by-step explanation: I did the test and it was right

Answer:

B and C are the answers

Step-by-step explanation:

We know that the perimeter is at most 57 feet. We will call the length of each side with the variable 'x'. Each side is the same since it's an equilateral triangle.

The perimeter of the triangle is defined as '3x' because 3 times the side length of an equilateral triangle is its perimeter.

Since the perimeter is at most 57 feet, it can't be more than that. Therefore, we get the inequality 3x≤57.

This inequality is the same as saying the perimeter is less than or equal to 57 feet.

Now we solve.

3x≤57

Isolate 'x': 3x/3≤57/3

0<x≤19 is our answer.

The reason there is a "0<" added is because the side of a triangle can't be less than 0, that would be impossible.

Answer:

b/h

Step-by-step explanation:

remember SOH CAH TOA. Sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent. So in this case use CAH for cos L. Adjacent to L is b, and the hypotenuse is h. Therefore the answer is b/h.

Answer:

an = 8 - 2*(n - 1)

Step-by-step explanation:

a1 ; .... ; an-1 ; an

r = an - an-1

r = (an-1 - 2) - an-1

r = an-1 - 2 - an-1

r = -2

So:

an = a1 + r*(n - 1)

an = 8 + (-2)*(n - 1)

an = 8 - 2*(n - 1)

The nth term of the arithmetic sequence using the explicit formula will be [tex]a_{n}[/tex] = 8 - 2(n - 1) thus option (A) is correct.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

As per the given,

First term a₁ = 8

[tex]a_{n} =a_{n-1}-2[/tex]

The common difference between the AP will is,

d = [tex]a_{n} -a_{n-1}[/tex]

d = -2

The nth term of an AP is given as a + (n - 1)d

Thus,

[tex]a_{n}[/tex] = 8 + (n - 1)(-2)

[tex]a_{n}[/tex] = 8 - 2(n - 1)

Hence "The nth term of the arithmetic sequence using the explicit formula will be [tex]a_{n}[/tex] = 8 - 2(n - 1)".

For more about Arithmetic progression

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Answer:

Answer is A

Step-by-step explanation:

Answer:

Option A is the correct option

solution,

[tex] \frac{8x + 7}{ {x}^{2} + 4x + 5 } - \frac{5x - 6}{ {x}^{2} + 4x + 5} \\ = \frac{8x + 7 - (5x - 6)}{ {x}^{2} + 4x + 5} \\ = \frac{8x+ 7 - 5x + 6}{ {x}^{2} + 4x + 5 } \\ = \frac{8x - 5x + 7 + 6}{ {x}^{2} + 4x + 5 } \\ = \frac{3x + 13}{ {x}^{2} + 4x + 5 } [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

a = -3  b = -5 and c = 9

Step-by-step explanation:

−3x^2 − 5x + 9 = 0

The quadratic function is written as

ax^2 + bx+c =0

So a = -3  b = -5 and c = 9

Answer:

a = -3, b = -5 and c = 9

Step-by-step explanation:

Given Quadratic Equation is:

=> [tex]-3x^2-5x+9[/tex]

Comparing it with standard form of quadratic equation [tex]ax^2+bx+c[/tex], we get

=> a = -3, b = -5 and c = 9

Step-by-step explanation:

7^3/4=

[tex] \sqrt[4]{7 {}^{3 \\} } [/tex]

=

[tex] \sqrt[4]{343} [/tex]

Answer:

[tex]\dfrac{16}{225}[/tex].

Step-by-step explanation:

It is given that,

Number of red markers = 3

Number of blue markers = 5

Number of yellow markers = 3

Number of black markers = 4

Total markers = 3 + 5 + 3 + 4 = 15

Probability of getting a black marker is

[tex]P(Black)=\dfrac{\text{Number of black markers}}{\text{Total markers}}[/tex]

[tex]P(Black)=\dfrac{4}{15}[/tex]

Probability of choosing two black markers if the first marker is put back before the second is drawn, is

Required probability [tex]=P(Black)\times P(Black)[/tex]  

                      [tex]=\dfrac{4}{15}\times \dfrac{4}{15}[/tex]

                      [tex]=\dfrac{16}{225}[/tex]

Therefore, the  probability of choosing two black markers if the first marker is put back before the second is drawn, is [tex]\dfrac{16}{225}[/tex].

Answer:

around 30

Step-by-step explanation: dont quote me though

Answer:

work is shown and pictured